Side Of Polygon
Probability
Level
2
A Polygon has 27 diagonals, Find the Number of sides.
The answer is 9.
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let,number of sides=n total number of line segments =nC2 total no. of diagonals=nC2-n nC2 -n=27 [n*(n-1)/2]-n=27 n^2-3n=54 n=9,-6
Ans: n=9 since n cant be negetive....